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Finding the Fourth Proportional to 20,431.78, 30,649.43 and 5,640.70

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Solution

The fourth proportional to 20,431.78, 30,649.43 and 5,640.70 is: 8,461.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,431.78 : 30,649.43 = 5,640.70 : x
  2. Step 2: Convert to fraction form
    20,431.78/30,649.43 = 5,640.70/x
  3. Step 3: Cross multiply
    20,431.78x = 30,649.43 × 5,640.70
  4. Step 4: Simplify right side
    20,431.78x = 172,884,177.28
  5. Step 5: Solve for x
    x = 172,884,177.28/20,431.78
  6. Step 6: Final answer
    x = 8,461.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.